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Finding the Third Proportional to 415,936.50 and 642,246

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Solution

The third proportional to 415,936.50 and 642,246 is: 991,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,936.50 : 642,246 = 642,246 : x
  2. Step 2: Convert to fraction form
    415,936.50/642,246 = 642,246/x
  3. Step 3: Cross multiply
    415,936.50x = 642,246 × 642,246
  4. Step 4: Simplify right side
    415,936.50x = 412,479,924,516
  5. Step 5: Solve for x
    x = 412,479,924,516/415,936.50
  6. Step 6: Final answer
    x = 991,689.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.